We combine the anisotropy of magnetic interactions and the point symmetry of finite solids in the study of dipolar clusters as new basic units for multiferroics metamaterials. The Hamiltonian of magnetic dipoles with an easy axis at the vertices of polygons and polyhedra, maps exactly into a Hamiltonian with symmetric and antisymmetric exchange couplings. The last one gives rise to a Dzyaloshinskii-Moriya contribution responsible for the magnetic modes of the systems and their symmetry groups, which coincide with those of a particle in a crystal field with spin-orbit interaction. We find that the clusters carry spin current and that they manifest the magnetoelectric effect. We expect our results to pave the way for the rational design of magnetoelectric devices at room temperature.

中文翻译：

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偶极团簇中的磁电效应

在研究偶极簇中，我们将磁相互作用的各向异性和有限固体的点对称性结合起来，作为多铁性超材料的新基本单位。在多边形和多面体的顶点具有易轴的磁偶极子的哈密顿量，正好映射成具有对称和反对称交换耦合的哈密顿量。最后一个引起了Dzyaloshinskii-Moriya贡献，它负责系统的磁模及其对称基团，这与具有自旋轨道相互作用的晶体场中的粒子的磁模相符。我们发现这些簇携带自旋电流，并且它们表现出磁电效应。我们希望我们的结果为室温下磁电器件的合理设计铺平道路。